Fractions


Multiplying Mixed Numbers

When Mixed Numbers are multiplied, those Mixed Numbers must first be changed to Improper Fractions.

Multiply the Numerators and then Multiply the Denominators.






2
1
4

*

1
2
5




Change these Mixed Numbers to Improper Fractions.



2
1
4

=
9
4




1
2
5

=
7
5



9
4

*
7
5



To multiply these Improper Fractions, first multiply the Numerators.

The product of the Numerators becomes the new Numerator.



9
4
*
7
5

=
63




Then multiply the Denominators.

The product of the Denominators becomes the new Denominator.



9
4
*
*
7
5

=
63
20




If the answer is an Improper Fraction, then change the answer to a Mixed Number.



63
20

=

3
3
20






If the resulting Proper Fraction can be reduced, then do so.





2
5
6

*

1
4
5




2
5
6

=
17
6




1
4
5

=
9
5



17
6

*
9
5

=
153
 30



153
 30

=

5
3
30




5
3
30

=

5
1
10





RULE

Multiplying Mixed Numbers

Change any Mixed Numbers to Improper Fractions.

Multiply the Numerators to find the Numerator of the answer.

Multiply the Denominators to find the Denominator of the answer.

If the answer is an Improper Fraction, then change it to a Mixed Number.

If the Proper Fraction can be Reduced, then do so.